The limits at infinity are where you’ll find,The horizontal asymptotes, but keep in mind:It’s possible to cross an asymptotic guide,Specifically the ones found lying on their side.

To find the limits at infinity,just isolate the highest order terms: One term on top and one on bottom, Cancel common factors of them: If no x is left then you are done. But if an x is below then the limit must be zero, x on top grows up to be infinity.

Factor Top and Factor bottom,What you can’t remove will act,As a strange mathematic fictionWhen it’s zero, that’s a -

Factor Top and Factor bottom,What you can’t remove, denote:Two words sitting at the bottom, Vertical and Asymptote. Vertical and Asymptote. Vertical and Asymptote!